3.minor arc AB of a vertical circle with centre O and radius / m, as shown in the diagram.particle P of mass m kg. The particle P is set in motion so that it moves back and forth along theOne end of a light rod of length / m is attached to a fixed point O and the other end is attached to aPBCWhen P is at its lowest point C, its speed is u ms and the tension in the rod is 2mg N.(a) Show that u = √gl.(b) The speed of P when OP makes an angle 8 with the vertical is denoted by v ms. Show thatv² = gl (2cos8 - 1).(c) Find the greatest value of 8.(d) Find the value of 0 when the tension in the rod is mg N.

Given: The tension at C, T= 2mg

3. minor arc AB of a vertical circle with centre O and radius I m, as shown in the diagram. particle P of mass m kg. The particle P is set in motion so that it moves back and forth along the One end of a light rod of length / m is attached to a fixed point O and the other end is attached to a 0 B C When P is at its lowest point C, its speed is u ms" and the tension in the rod is 2mg N.

3. minor arc AB of a vertical circle with centre O and radius I m, as shown in the diagram. particle P of mass m kg. The particle P is set in motion so that it moves back and forth along the One end of a light rod of length / m is attached to a fixed point O and the other end is attached to a 0 B C When P is at its lowest point C, its speed is u ms" and the tension in the rod is 2mg N.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....

See similar textbooks

Similar questions

1. (bold type indicates a vector) An object of mass m = 10 kg may rotate in a vertical plane about the fixed point P under the action of gravity. The distance d from the point P to the center of mass C is d = 0.5 m. The moment of inertia Ie about the center of mass C is unknown. The object starts at rest in the position shown and is then released. At the instant of release the acceleration of the center of mass is measured to be a, = (-5 m/sec²)j (i.e., downward). Use the given information to determine the moment of inertià I, about the center of mass. Use g = 10 m/sec?. gravity w go P (f ixed)
Q. The upper and lower arms of Porter governor are 0.25 m each and are pivoted 30 mm from the axis of rotation. The radius of rotation Is 130 mm. The mass of the ball and sleeve are 3 kg and 38 kg respectively. Find the effort and power of the governor.
Four masses m1, m2, m3 and m4 are 10 kg, 20 kg, 30 kg and 40 kg respectively. The corresponding radii of rotation are 0.1 m, 0.15 m, 0.3 m and 0.35 m respectively and the angles between successive masses are 40°, 60° and 120°. Find the position and magnitude of the balance mass required, if its radius of rotation is 0.5 m.
Prism 1 of mass ml and with angle sits on a horizontal surface On the prism, a bar 2 of mass m2 is positioned. Find the prism's acceleration assuming there is little friction. 2 1
2. The figure shows a system in a vertical plane. A block with mass m is in rest on top of the frictionless horizontal surface of the prism with mass M, at the most right-hand side of the surface. That prism itself is in rest on a frictionless inclined plane. The length of the side of the prism on which the block rests is d. a) What are the accelerations of the block m and of the prism M immediately after they are released from rest? What is at that instance the relative acceleration of the block m with respect to the prism M? b) How long does it take for the block to find itself at the other side of the horizontal surface of the prism, hence, at the most left-hand side of the horizontal surface? What are at that instance the velocities of block and prism? Data: m = 0.7 kg; M = 5 kg; d = 0.8 m 30° d 3 3 M 30%
A trolley of mass M stands on frictionless rails. A rod of mass M and length L is pivoted to the roof of the trolley on a frictionless hinge and the rod is gently left from the horizontal 16 Mg position as shown in the figure. Initially the whole system was at rest when the rod becomes vertical for the first time. Net 18. vertical force offered by the track to the carriage is Find x.
A small roller in a mechanics setup is pushed by a force F = 4 N as shown in the sketch. The mass of the roller is 0.5 kg 8cm 4cm 3cm 3cm Negleting friction and knowing that the roller is translating only, calculate the normal force at the front wheel (B).
4. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5465 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 Ib Tc. Neglect friction between the car and the track. Determine how far the car travels in 15 seconds. Model this as a particle at G. 24 in. B 25 in. 30 in. 25 in.
The Block with a mass of 4-Kg is hung with a spring. The stiffness constant of the spring K = 10 N/cm. The block is at rest position at point A with a 4-cm stretched of spring. Block is pulled down immediately with a force F=100-N Calculate the velocity of block when it passes point B which is 5-cm away from point A. K. 10 N/cm. 4 kg. VA- O A 5.cm. F = 100-N ---- --- VB = ?
A round object of mass M and radius R roll down a hill of height h. Calculate the linear speed of the object (in terms of M, g, R, and h) when it reaches the bottom of the hill.
2. A car and its load weighs 40 kN and the center of gravity is 600 mm from the ground and midway between the front and rear wheel which are 3 m apart. The car is brought to rest from a speed of 49 kph in 5 seconds by means of the brakes. Compute the normal force on each of the front wheels of the car. (Neglect friction)
Figure Q1(b) shows the 10 kg rod AB which is constrained so that its end of slider block B move along the fixed guide. The rod is initially at rest when angle = 0O. If the slider block A is acted upon by a vertical force P = (98) N URGENT!!!!! HELP!!!!!